A139981 Primes of the form 19x^2+40y^2.

19, 59, 179, 211, 331, 379, 659, 811, 971, 1019, 1091, 1171, 1291, 1459, 1571, 1579, 1699, 1931, 1979, 2131, 2179, 2339, 2371, 2459, 2539, 2579, 2659, 2731, 2939, 3251, 3259, 3299, 3371, 3491, 3499, 3571, 3739, 3851, 4019, 4099, 4211, 4259

Offset

1,1

Comments

Discriminant=-3040. See A139827 for more information.

Links

Vincenzo Librandi and Ray Chandler, Table of n, a(n) for n = 1..10000 [First 1000 terms from Vincenzo Librandi]

N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)

Formula

The primes are congruent to {19, 51, 59, 91, 179, 211, 219, 259, 299, 331, 371, 379, 411, 451, 459, 531, 611, 659, 699, 811, 819, 851, 939, 971, 979, 1019, 1059, 1091, 1131, 1139, 1171, 1211, 1219, 1291, 1371, 1419, 1459, 1571, 1579, 1611, 1699, 1731, 1739, 1779, 1819, 1851, 1891, 1899, 1931, 1971, 1979, 2051, 2131, 2179, 2219, 2331, 2339, 2371, 2459, 2491, 2499, 2539, 2579, 2611, 2651, 2659, 2691, 2731, 2739, 2811, 2891, 2939, 2979} (mod 3040).

Mathematica

QuadPrimes2[19, 0, 40, 10000] (* see A106856 *)

Prog

(Magma) [p: p in PrimesUpTo(6000) | p mod 3040 in [19, 51, 59, 91, 179, 211, 219, 259, 299, 331, 371, 379, 411, 451, 459, 531, 611, 659, 699, 811, 819, 851, 939, 971, 979, 1019, 1059, 1091, 1131, 1139, 1171, 1211, 1219, 1291, 1371, 1419, 1459, 1571, 1579, 1611, 1699, 1731, 1739, 1779, 1819, 1851, 1891, 1899, 1931, 1971, 1979, 2051, 2131, 2179, 2219, 2331, 2339, 2371, 2459, 2491, 2499, 2539, 2579, 2611, 2651, 2659, 2691, 2731, 2739, 2811, 2891, 2939, 2979]]; // Vincenzo Librandi, Aug 03 2012

Crossrefs

Sequence in context: A182475 A142190 A236462 * A235705 A171247 A270818

Adjacent sequences: A139978 A139979 A139980 * A139982 A139983 A139984

Keyword

nonn,easy

Author

T. D. Noe, May 02 2008

Status

approved